## Simplifying (a^3b^2)^3

In mathematics, simplifying expressions often involves using the rules of exponents. One such expression is **(a^3b^2)^3**. Let's break down how to simplify this expression.

### Understanding the Rules of Exponents

The key rule we'll use is the **power of a product rule:**

**(xy)^n = x^n * y^n**

This rule states that when you raise a product to a power, you raise each factor in the product to that power.

### Applying the Rule to (a^3b^2)^3

**Identify the factors:**In our expression, the factors are**a^3**and**b^2**.**Apply the rule:**Using the power of a product rule, we get:**(a^3b^2)^3 = (a^3)^3 * (b^2)^3****Simplify:**To further simplify, we use the**power of a power rule:****(x^m)^n = x^(m*n)**Applying this rule, we get:**(a^3)^3 * (b^2)^3 = a^(3***3) * b^(2*3) = a^9 * b^6

### Final Result

Therefore, the simplified form of **(a^3b^2)^3** is **a^9b^6**.